Question

The S.D. of 1, 5, 3, 8, 2 will be

(A) 2·48 (B) 2·84 (C) 2·76 (D) 2·67.​

Answer 1

Answer:

I think c)

Step-by-step explanation:

pls mark me as brainliest

Answer 2

The S.D. of 1, 5, 3, 8, 2 is 2·48

Given :

The observations 1, 5, 3, 8, 2

To find :

The S.D. of 1, 5, 3, 8, 2

Solution :

Step 1 of 3 :

Write down the given data set

Here the given observations are 1, 5, 3, 8, 2

Step 2 of 3 :

Calculate mean of the data set

Mean of the data set

$\displaystyle \sf = \bar{x}$

$\displaystyle \sf = \frac{Sum \: of \: the \: data }{Number \: of \: data }$

$\displaystyle \sf = \frac{ 1 + 5 + 3 + 8 + 2 }{5}$

$\displaystyle \sf = \frac{19}{5}$

$\displaystyle \sf = 3.8$

Step 3 of 3 :

Calculate S.D of the data

The required S.D of the data

= The standard deviation

$\displaystyle \sf = \sqrt{ \frac{ {( x_i - \bar{x} )}^{2} }{n} }$

$\displaystyle \sf = \sqrt{ \frac{ {(1 - 3.8)}^{2} +{(5 - 3.8)}^{2} +{(3 - 3.8)}^{2} +{(8 - 3.8)}^{2} + {(2 - 3.8)}^{2} }{5} }$

$\displaystyle \sf = \sqrt{ \frac{ {( - 2.8)}^{2} +{(1.2)}^{2} +{(-0.8)}^{2} +{(4.2)}^{2} + {(-1.8)}^{2} }{5} }$

$\displaystyle \sf = \sqrt{ \frac{7.84 + 1.44 + 0.64 + 17.64 + 3.24 }{5} }$

$\displaystyle \sf = \sqrt{ \frac{30.8}{5} }$

$\displaystyle \sf = \ \sqrt{6. 16}$

$\displaystyle \sf \approx 2.48$

Hence the correct option is (A) 2·48

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ the median in the set 6,4,2,3,4,5,5,4 would be

https://brainly.in/question/25580341

2. The mode of 10,8,4,10,6,10

https://brainly.in/question/49105958

3. Find the median of the first four even numbers.

https://brainly.in/question/27405936

#SPJ3